The generator matrix

 1  0  0  1  1  1  6  1  1  0  1  1  2  0  4  0  2  2  6  6  4  0  0  2  0  1  1
 0  1  0  1  6  3  1  0  1  1  2  3  1  0  2  1  1  2  1  0  1  1  0  1  1  0  0
 0  0  1  1  3  6  3  6  3  6  1  0  1  1  1  0  2  1  0  1  2  0  1  1  0  0  0
 0  0  0  4  0  0  0  0  0  0  4  0  4  0  4  0  0  4  0  0  4  4  0  4  0  0  0
 0  0  0  0  4  0  0  0  0  0  4  0  0  4  4  0  4  4  0  4  4  0  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  4  4  0  4  4  4  0  4  4  0  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  4  0  0  0  4  4  4  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  0  0  4  0  4  4  4  4  0  0  0  0
 0  0  0  0  0  0  0  0  4  0  4  0  4  4  0  0  4  0  4  4  4  4  0  0  4  0  0
 0  0  0  0  0  0  0  0  0  4  4  4  0  4  0  4  0  4  4  4  4  0  0  0  0  0  0

generates a code of length 27 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+44x^16+38x^17+131x^18+194x^19+560x^20+1050x^21+1850x^22+2914x^23+5086x^24+7092x^25+8693x^26+9932x^27+8568x^28+7372x^29+5252x^30+3132x^31+2019x^32+806x^33+421x^34+210x^35+88x^36+26x^37+34x^38+2x^39+18x^40+3x^42

The gray image is a code over GF(2) with n=108, k=16 and d=32.
This code was found by Heurico 1.16 in 22.3 seconds.